Whats The Max?

So I was trying to figure out what the Maximum possible Ability power was in the game Fully Stacked Mejais 145 5 Death Caps 120X5=600 AP Marks .59X9=5.31 AP Scaling Glyphs=27.54 AP Seals=5.31 AP Scaling Quintessences=23.22 Natural Talent= 15 Baron=40 Blue Pot=50

So flat I get to 911.38

Then if you add in Percent increases 35% Death Cap=318.983 15% Blue Buff=136.707 36% 3 internals+Elder???=328.0968 Since these don't stack you get 911.38+783.7868=~1695

Now I've tried to do this a few times but have never even gotten close to this number. SO I'm just wondering what I'm missing or if I just suck at math???

P.S. I know that this is a garbage build so unless you have a CLEVER meme to get that point across keep your brilliant Silver insights to yourself.